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Volumn 9, Issue 8, 1997, Pages 2364-2386

The Lagrangian spectral relaxation model of the scalar dissipation in homogeneous turbulence

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; ENERGY DISSIPATION; FLUIDS; MATHEMATICAL MODELS; MIXING; REYNOLDS NUMBER; STATISTICAL METHODS; TURBULENCE;

EID: 0031202565     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.869357     Document Type: Article
Times cited : (45)

References (64)
  • 1
    • 36148963014 scopus 로고
    • The isotropic turbulent mixer: Part II. Arbitrary Schmidt number
    • S. Corrsin, "The isotropic turbulent mixer: Part II. Arbitrary Schmidt number," AIChE J. 10, 870 (1964).
    • (1964) AIChE J. , vol.10 , pp. 870
    • Corrsin, S.1
  • 2
    • 0019680021 scopus 로고
    • Modelling the behaviour of homogeneous scalar turbulence
    • G. R. Newman, B. E. Launder, and J. L. Lumley, "Modelling the behaviour of homogeneous scalar turbulence," J. Fluid Mech. 111, 217 (1981).
    • (1981) J. Fluid Mech. , vol.111 , pp. 217
    • Newman, G.R.1    Launder, B.E.2    Lumley, J.L.3
  • 3
    • 0021788594 scopus 로고
    • Pdf methods for turbulent reactive flows
    • S. B. Pope, "Pdf methods for turbulent reactive flows," Prog. Energy Combust. Sci. 11, 119 (1985).
    • (1985) Prog. Energy Combust. Sci. , vol.11 , pp. 119
    • Pope, S.B.1
  • 4
    • 0028976672 scopus 로고
    • The spectral relaxation model of the scalar dissipation rate in homogeneous turbulence
    • R. O. Fox, "The spectral relaxation model of the scalar dissipation rate in homogeneous turbulence," Phys. Fluids 7, 1082 (1995).
    • (1995) Phys. Fluids , vol.7 , pp. 1082
    • Fox, R.O.1
  • 5
    • 0030131314 scopus 로고    scopus 로고
    • Modeling the scalar dissipation rate for a series-parallel reaction
    • K. Tsai and R. O. Fox, "Modeling the scalar dissipation rate for a series-parallel reaction," Chem. Eng. Sci. 50, 1929 (1996).
    • (1996) Chem. Eng. Sci. , vol.50 , pp. 1929
    • Tsai, K.1    Fox, R.O.2
  • 6
    • 0001775903 scopus 로고
    • Turbulent diffusion flames
    • R. W. Bilger, "Turbulent diffusion flames," Annu. Rev. Fluid Mech. 21, 101 (1989).
    • (1989) Annu. Rev. Fluid Mech. , vol.21 , pp. 101
    • Bilger, R.W.1
  • 7
    • 0018020311 scopus 로고
    • An experimental study of the decay of temperature fluctuations in grid-generated turbulence
    • Z. Warhaft and J. L. Lumley, "An experimental study of the decay of temperature fluctuations in grid-generated turbulence," J. Fluid Mech. 88, 659 (1978).
    • (1978) J. Fluid Mech. , vol.88 , pp. 659
    • Warhaft, Z.1    Lumley, J.L.2
  • 8
    • 0020562452 scopus 로고
    • The effect of a passive cross-stream temperature gradient on the evolution of temperature variance and heat flux in grid turbulence
    • A. Sirivat and Z. Warhaft, "The effect of a passive cross-stream temperature gradient on the evolution of temperature variance and heat flux in grid turbulence," J. Fluid Mech. 128, 323 (1983).
    • (1983) J. Fluid Mech. , vol.128 , pp. 323
    • Sirivat, A.1    Warhaft, Z.2
  • 9
    • 0030127383 scopus 로고    scopus 로고
    • An experimental study of a reactive plume in grid turbulence
    • R. J. Brown and R. W. Bilger, "An experimental study of a reactive plume in grid turbulence," J. Fluid Mech. 312, 373 (1996).
    • (1996) J. Fluid Mech. , vol.312 , pp. 373
    • Brown, R.J.1    Bilger, R.W.2
  • 10
    • 0001348201 scopus 로고
    • Direct numerical simulations of the turbulent mixing of a passive scalar
    • V. Eswaran and S. B. Pope, "Direct numerical simulations of the turbulent mixing of a passive scalar," Phys. Fluids 31, 506 (1988).
    • (1988) Phys. Fluids , vol.31 , pp. 506
    • Eswaran, V.1    Pope, S.B.2
  • 11
    • 0030110767 scopus 로고    scopus 로고
    • Computational methods for turbulent reacting flows in the chemical process industry
    • R. O. Fox, "Computational methods for turbulent reacting flows in the chemical process industry," Rev. Inst. Français Pétrole 51, 215 (1996).
    • (1996) Rev. Inst. Français Pétrole , vol.51 , pp. 215
    • Fox, R.O.1
  • 12
    • 12044250729 scopus 로고
    • Lagrangian pdf methods for turbulent flows
    • S. B. Pope, "Lagrangian pdf methods for turbulent flows," Annu. Rev. Fluid Mech. 26, 23 (1993).
    • (1993) Annu. Rev. Fluid Mech. , vol.26 , pp. 23
    • Pope, S.B.1
  • 14
    • 58149368596 scopus 로고
    • Pdf modeling of chemical nonequilibrium effects in turbulent nonpremixed hydrocarbon flames
    • The Combustion Institute, Pittsburgh
    • J.-Y. Chen and W. Kollman, "Pdf modeling of chemical nonequilibrium effects in turbulent nonpremixed hydrocarbon flames," 22nd Symposium (International) on Combustion (The Combustion Institute, Pittsburgh, 1988), pp. 645-653.
    • (1988) 22nd Symposium (International) on Combustion , pp. 645-653
    • Chen, J.-Y.1    Kollman, W.2
  • 16
    • 0028982792 scopus 로고
    • Modeling of extinction in turbulent diffusion flames by the velocity-dissipation-composition pdf method
    • A. T. Norris and S. B. Pope, "Modeling of extinction in turbulent diffusion flames by the velocity-dissipation-composition pdf method," Combust. Flame 100, 211 (1995).
    • (1995) Combust. Flame , vol.100 , pp. 211
    • Norris, A.T.1    Pope, S.B.2
  • 17
    • 0028989265 scopus 로고
    • Nonpremixed turbulent reacting flow near extinction
    • Y. Y. Lee and S. B. Pope, "Nonpremixed turbulent reacting flow near extinction," Combust. Flame 101, 501 (1995).
    • (1995) Combust. Flame , vol.101 , pp. 501
    • Lee, Y.Y.1    Pope, S.B.2
  • 18
    • 0028990505 scopus 로고
    • Finite-rate chemistry and transient effects in direct numerical simulations of turbulent nonpremixed flames
    • S. Mahalingam, J. H. Chen, and L. Vervisch, "Finite-rate chemistry and transient effects in direct numerical simulations of turbulent nonpremixed flames," Combust. Flame 102, 285 (1995).
    • (1995) Combust. Flame , vol.102 , pp. 285
    • Mahalingam, S.1    Chen, J.H.2    Vervisch, L.3
  • 19
    • 0001648223 scopus 로고
    • The Fokker-Planck closure for turbulent molecular mixing: Passive scalars
    • R. O. Fox, "The Fokker-Planck closure for turbulent molecular mixing: Passive scalars," Phys. Fluids A 4, 1230 (1992).
    • (1992) Phys. Fluids A , vol.4 , pp. 1230
    • Fox, R.O.1
  • 20
    • 36449008715 scopus 로고
    • Improved Fokker-Planck model for the joint scalar, scalar gradient pdf
    • R. O. Fox, "Improved Fokker-Planck model for the joint scalar, scalar gradient pdf," Phys. Fluids 6, 334 (1994).
    • (1994) Phys. Fluids , vol.6 , pp. 334
    • Fox, R.O.1
  • 21
    • 0030291789 scopus 로고    scopus 로고
    • DNS of passive scalar with imposed mean gradient in isotropic turbulence
    • M. R. Overholt and S. B. Pope, "DNS of passive scalar with imposed mean gradient in isotropic turbulence," Phys. Fluids 8, 3128 (1996).
    • (1996) Phys. Fluids , vol.8 , pp. 3128
    • Overholt, M.R.1    Pope, S.B.2
  • 22
    • 0030111535 scopus 로고    scopus 로고
    • Non-Gaussian scalar statistics in homogeneous turbulence
    • F. A. Jaberi, R. S. Miller, C. K. Madnia, and P. Givi, "Non-Gaussian scalar statistics in homogeneous turbulence," J. Fluid Mech. 313, 241 (1996).
    • (1996) J. Fluid Mech. , vol.313 , pp. 241
    • Jaberi, F.A.1    Miller, R.S.2    Madnia, C.K.3    Givi, P.4
  • 23
    • 0028727956 scopus 로고
    • Pdf simulation of a turbulent series-parallel reaction in an axisymmetric reactor
    • K. Tsai and R. O. Fox, "Pdf simulation of a turbulent series-parallel reaction in an axisymmetric reactor," Chem. Eng. Sci. 49, 5141 (1994).
    • (1994) Chem. Eng. Sci. , vol.49 , pp. 5141
    • Tsai, K.1    Fox, R.O.2
  • 24
    • 0030267885 scopus 로고    scopus 로고
    • Pdf modeling of turbulent-mixing effects on initiator efficiency in a tubular LDPE reactor
    • K. Tsai and R. O. Fox, "Pdf modeling of turbulent-mixing effects on initiator efficiency in a tubular LDPE reactor," AlChE J. 42, 2926 (1996).
    • (1996) AlChE J. , vol.42 , pp. 2926
    • Tsai, K.1    Fox, R.O.2
  • 25
    • 0028706686 scopus 로고
    • Reactive mixing in a tubular jet reactor. A comparison of pdf simulations with experimental data
    • M. Pipino and R. O. Fox, "Reactive mixing in a tubular jet reactor. A comparison of pdf simulations with experimental data," Chem. Eng. Sci. 49, 5229 (1994).
    • (1994) Chem. Eng. Sci , vol.49 , pp. 5229
    • Pipino, M.1    Fox, R.O.2
  • 26
    • 0000044357 scopus 로고
    • The effect of homogeneous turbulence on material lines and surfaces
    • G. K. Batchelor, "The effect of homogeneous turbulence on material lines and surfaces," Proc. R. Soc. London, Ser. A 213, 349 (1952).
    • (1952) Proc. R. Soc. London, Ser. A , vol.213 , pp. 349
    • Batchelor, G.K.1
  • 27
    • 84955741400 scopus 로고
    • Small-scale variation of convected quantities like temperature in turbulent fluid. Part 1. General discussion and the case of small conductivity
    • G. K. Batchelor, "Small-scale variation of convected quantities like temperature in turbulent fluid. Part 1. General discussion and the case of small conductivity," J. Fluid Mech. 5, 113 (1959).
    • (1959) J. Fluid Mech. , vol.5 , pp. 113
    • Batchelor, G.K.1
  • 28
    • 0028082887 scopus 로고
    • Spectral transport of self-similar passive scalar fields in isotropic turbulence
    • P. K. Yeung, "Spectral transport of self-similar passive scalar fields in isotropic turbulence," Phys. Fluids 6, 2245 (1994).
    • (1994) Phys. Fluids , vol.6 , pp. 2245
    • Yeung, P.K.1
  • 29
    • 0030217676 scopus 로고    scopus 로고
    • Multi-scalar triadic interactions in differential diffusion with and without mean scalar gradients
    • P. K. Yeung, "Multi-scalar triadic interactions in differential diffusion with and without mean scalar gradients," J. Fluid Mech. 321, 235 (1996).
    • (1996) J. Fluid Mech. , vol.321 , pp. 235
    • Yeung, P.K.1
  • 30
    • 0001277608 scopus 로고
    • The local structure of turbulence in incompressible viscous fluid for very large Reynolds numbers
    • A. N. Kolmogorov, "The local structure of turbulence in incompressible viscous fluid for very large Reynolds numbers," Dokl. Akad. Nauk SSR 30, 301 (1941).
    • (1941) Dokl. Akad. Nauk SSR , vol.30 , pp. 301
    • Kolmogorov, A.N.1
  • 31
  • 32
    • 33646934616 scopus 로고
    • On the spectrum of isotropic temperature fluctuations in isotropic turbulence
    • S. Corrsin, "On the spectrum of isotropic temperature fluctuations in isotropic turbulence," J. Appl. Phys. 22, 469 (1951).
    • (1951) J. Appl. Phys. , vol.22 , pp. 469
    • Corrsin, S.1
  • 33
    • 0003987999 scopus 로고    scopus 로고
    • Cambridge University Press, Cambridge, in press
    • S. B. Pope, Turbulent Flows (Cambridge University Press, Cambridge, in press).
    • Turbulent Flows
    • Pope, S.B.1
  • 34
    • 33746777796 scopus 로고
    • Diffusion approximation to inertial energy transfer in isotropic turbulence
    • C. E. Leith, "Diffusion approximation to inertial energy transfer in isotropic turbulence," Phys. Fluids 10, 1409 (1967).
    • (1967) Phys. Fluids , vol.10 , pp. 1409
    • Leith, C.E.1
  • 36
    • 0029137416 scopus 로고
    • A spectral model applied to homogeneous turbulence
    • T. T. Clark and C. Zemach, "A spectral model applied to homogeneous turbulence," Phys. Fluids 7, 1674 (1995).
    • (1995) Phys. Fluids , vol.7 , pp. 1674
    • Clark, T.T.1    Zemach, C.2
  • 37
    • 0028140689 scopus 로고
    • On the Lagrangian nature of the turbulence energy cascade
    • C. Meneveau, T. S. Lund, "On the Lagrangian nature of the turbulence energy cascade," Phys. Fluids 6, 2820 (1994).
    • (1994) Phys. Fluids , vol.6 , pp. 2820
    • Meneveau, C.1    Lund, T.S.2
  • 38
    • 0030185128 scopus 로고    scopus 로고
    • A Lagrangian dynamic subgrid-scale model of turbulence
    • C. Meneveau, T. S. Lund, and W. H. Cabot, "A Lagrangian dynamic subgrid-scale model of turbulence," J. Fluid Mech. 319, 353 (1996).
    • (1996) J. Fluid Mech. , vol.319 , pp. 353
    • Meneveau, C.1    Lund, T.S.2    Cabot, W.H.3
  • 39
    • 0027995309 scopus 로고
    • Stochastic equations with multifractal random increments for modeling turbulence dispersion
    • M. S. Borgas and B. L. Sawford, "Stochastic equations with multifractal random increments for modeling turbulence dispersion," Phys. Fluids 6, 618 (1994).
    • (1994) Phys. Fluids , vol.6 , pp. 618
    • Borgas, M.S.1    Sawford, B.L.2
  • 40
    • 0001002169 scopus 로고
    • The velocity-dissipation probability density function model for turbulent flows
    • S. B. Pope and Y. L . Chen, "The velocity-dissipation probability density function model for turbulent flows," Phys. Fluids A 2, 1437 (1990).
    • (1990) Phys. Fluids A , vol.2 , pp. 1437
    • Pope, S.B.1    Chen, Y.L.2
  • 41
    • 0000776282 scopus 로고
    • Application of the velocity-dissipation probability density function model to inhomogeneous turbulent flows
    • S. B. Pope, "Application of the velocity-dissipation probability density function model to inhomogeneous turbulent flows," Phys. Fluids A 3, 1947 (1991).
    • (1991) Phys. Fluids A , vol.3 , pp. 1947
    • Pope, S.B.1
  • 43
    • 0030266248 scopus 로고    scopus 로고
    • On velocity-conditioned scalar mixing in homogeneous turbulence
    • R. O. Fox, "On velocity-conditioned scalar mixing in homogeneous turbulence," Phys. Fluids 8, 2678 (1996).
    • (1996) Phys. Fluids , vol.8 , pp. 2678
    • Fox, R.O.1
  • 44
    • 0027962956 scopus 로고
    • On the relationship between stochastic Lagrangian models of turbulence and second-moment closures
    • S. B. Pope, "On the relationship between stochastic Lagrangian models of turbulence and second-moment closures," Phys. Fluids 6, 973 (1993).
    • (1993) Phys. Fluids , vol.6 , pp. 973
    • Pope, S.B.1
  • 45
    • 0030437562 scopus 로고    scopus 로고
    • On the log-Poisson statistics of the energy dissipation field and related problems of developed turbulence
    • E Gledzer, E. Villermaux, H. Kahalerras, and Y. Gagne, "On the log-Poisson statistics of the energy dissipation field and related problems of developed turbulence," Phys. Fluids 8, 3367 (1996).
    • (1996) Phys. Fluids , vol.8 , pp. 3367
    • Gledzer, E.1    Villermaux, E.2    Kahalerras, H.3    Gagne, Y.4
  • 46
    • 0019601193 scopus 로고
    • The joint pdf of a scalar and its gradient at a point in a turbulent flow
    • R. E. Meyers and E. E. O'Brien, "The joint pdf of a scalar and its gradient at a point in a turbulent flow," Combust. Sci. Technol. 26, 123 (1981).
    • (1981) Combust. Sci. Technol. , vol.26 , pp. 123
    • Meyers, R.E.1    O'Brien, E.E.2
  • 47
    • 0343372875 scopus 로고
    • Joint statistics of scalars and their gradients in nearly homogeneous turbulence
    • edited by A. V. Johansson and P. H. Alfredsson Springer, Berlin
    • L. Valiño and C. Dopazo, "Joint statistics of scalars and their gradients in nearly homogeneous turbulence," in Advances in Turbulence 3, edited by A. V. Johansson and P. H. Alfredsson (Springer, Berlin, 1991), p. 312.
    • (1991) Advances in Turbulence 3 , pp. 312
    • Valiño, L.1    Dopazo, C.2
  • 48
    • 0023147375 scopus 로고
    • Alignment of vorticity and scalar gradient in simulated Navier-Stokes turbulence
    • W. T. Ashurst, A. R. Kerstein, R. M. Kerr, and C. H. Gibson, "Alignment of vorticity and scalar gradient in simulated Navier-Stokes turbulence," Phys. Fluids 30, 2343 (1987).
    • (1987) Phys. Fluids , vol.30 , pp. 2343
    • Ashurst, W.T.1    Kerstein, A.R.2    Kerr, R.M.3    Gibson, C.H.4
  • 49
    • 0028002580 scopus 로고
    • A numerical study of the mixing of a passive scalar in three dimensions in the presence of a mean gradient
    • A. Pumir, "A numerical study of the mixing of a passive scalar in three dimensions in the presence of a mean gradient," Phys. Fluids 6, 2118 (1994).
    • (1994) Phys. Fluids , vol.6 , pp. 2118
    • Pumir, A.1
  • 50
    • 0030153090 scopus 로고    scopus 로고
    • Experimental study of the fine-scale structure of conserved scalar mixing in turbulent shear flows
    • K. A. Buch and W. J. A. Dahm, "Experimental study of the fine-scale structure of conserved scalar mixing in turbulent shear flows," J. Fluid Mech. 317, 21 (1996).
    • (1996) J. Fluid Mech. , vol.317 , pp. 21
    • Buch, K.A.1    Dahm, W.J.A.2
  • 51
    • 0030176481 scopus 로고    scopus 로고
    • Scalar imaging velocimetry measurements of the velocity gradient tensor field in turbulent flows. II. Experimental results
    • L. K. Su and W. J. A. Dahm, "Scalar imaging velocimetry measurements of the velocity gradient tensor field in turbulent flows. II. Experimental results," Phys. Fluids 8, 1883 (1996).
    • (1996) Phys. Fluids , vol.8 , pp. 1883
    • Su, L.K.1    Dahm, W.J.A.2
  • 52
    • 0000747193 scopus 로고
    • A binomial Langevin model for turbulent mixing
    • L. Valiño and C. Dopazo, "A binomial Langevin model for turbulent mixing," Phys. Fluids A 3, 3034 (1991).
    • (1991) Phys. Fluids A , vol.3 , pp. 3034
    • Valiño, L.1    Dopazo, C.2
  • 53
    • 0029109441 scopus 로고
    • Modeling multiple reactive scalar mixing with the generalized IEM model
    • K. Tsai and R. O. Fox, "Modeling multiple reactive scalar mixing with the generalized IEM model," Phys. Fluids 7, 2820 (1995).
    • (1995) Phys. Fluids , vol.7 , pp. 2820
    • Tsai, K.1    Fox, R.O.2
  • 54
    • 85033309111 scopus 로고    scopus 로고
    • The beta mapping closure/GIEM model for non-premixed inhomogeneous turbulent reacting flows
    • submitted
    • K. Tsai and R. O. Fox, "The beta mapping closure/GIEM model for non-premixed inhomogeneous turbulent reacting flows," submitted to Ind. Eng. Chem. Fundam.
    • Ind. Eng. Chem. Fundam.
    • Tsai, K.1    Fox, R.O.2
  • 55
    • 0030220655 scopus 로고    scopus 로고
    • A DNS study of turbulent mixing of two passive scalars
    • A. Juneja and S. B. Pope, "A DNS study of turbulent mixing of two passive scalars," Phys. Fluids 8, 2177 (1996).
    • (1996) Phys. Fluids , vol.8 , pp. 2177
    • Juneja, A.1    Pope, S.B.2
  • 56
    • 0000976612 scopus 로고
    • Uniform mean scalar gradient in grid turbulence: Conditioned dissipation and production
    • A. Sahay and E. E . O'Brien, "Uniform mean scalar gradient in grid turbulence: Conditioned dissipation and production," Phys. Fluids A 5, 1076 (1993).
    • (1993) Phys. Fluids A , vol.5 , pp. 1076
    • Sahay, A.1    O'Brien, E.E.2
  • 57
    • 0013398771 scopus 로고    scopus 로고
    • Uniform mean scalar gradient in grid turbulence: Asymptotic probability distribution of a passive scalar
    • X. D. Cai, E. E. O'Brien, and F. Ladeinde, "Uniform mean scalar gradient in grid turbulence: Asymptotic probability distribution of a passive scalar," Phys. Fluids 8, 2555 (1996).
    • (1996) Phys. Fluids , vol.8 , pp. 2555
    • Cai, X.D.1    O'Brien, E.E.2    Ladeinde, F.3
  • 59
    • 0028668283 scopus 로고
    • Turbulent mixing of a passive scalar
    • M. Holzer and E. D. Siggia, "Turbulent mixing of a passive scalar," Phys. Fluids 6, 1820 (1994).
    • (1994) Phys. Fluids , vol.6 , pp. 1820
    • Holzer, M.1    Siggia, E.D.2
  • 60
    • 0024753428 scopus 로고
    • Lagrangian statistics from direct numerical simulations of isotropic turbulence
    • P. K. Yeung and S. B. Pope, "Lagrangian statistics from direct numerical simulations of isotropic turbulence," J. Fluid Mech. 207, 531 (1989).
    • (1989) J. Fluid Mech. , vol.207 , pp. 531
    • Yeung, P.K.1    Pope, S.B.2
  • 61
    • 0028731171 scopus 로고
    • Joint statistics of a passive scalar and its dissipation in turbulent flows
    • F. Anselmet, H. Djeridi, and L. Fulachier, "Joint statistics of a passive scalar and its dissipation in turbulent flows," J. Fluid Mech. 280, 173 (1994).
    • (1994) J. Fluid Mech. , vol.280 , pp. 173
    • Anselmet, F.1    Djeridi, H.2    Fulachier, L.3
  • 62
    • 0028385329 scopus 로고
    • A new model of premixed wrinkled flame propagation based on a scalar dissipation equation
    • T. Mantel and R. Borghi, "A new model of premixed wrinkled flame propagation based on a scalar dissipation equation," Combust. Flame 96, 443 (1994).
    • (1994) Combust. Flame , vol.96 , pp. 443
    • Mantel, T.1    Borghi, R.2


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